Unlike other temporal evolution equations, the incompressible Navier-Stokes equations cannot be time-marched directly as the resultant velocities do not satisfy the continuity constraint (), and hence are not divergence-free. To resolve this, the projection method [1]}, also known as the predictor-corrector or fractional step method, separates the solution time-step into velocity and pressure sub-steps, also known as the predictor and corrector steps.
